The first derivative of the function f is given by f '(x)=x-4e^(sin( how many points of inflection does the graph of f have on the interval 0≤x≤2π

F'(x) = x - 4e^(- sin 2x) 

f"(x) = 1 - 4e^(-sin 2x) • (-cos 2x) • 2 = 0 
1 - 8e^(-sin 2x) cos 2x = 0 

The graph of f"(x) intersects the x-axis 4 times.

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